A Galerkin finite element method for the space Hadamard fractional partial differential equation

DOI10.1016/j.matcom.2023.06.022OpenAlexW4384938852MaRDI QIDQ6094061

Zhengang Zhao, Yunying Zheng

Publication date: 12 September 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2023.06.022

zbMATH Keywords

Galerkin finite element methodHadamard fractional derivativeHadamard fractional differential equationHadamard fractional derivative space

Mathematics Subject Classification ID

Numerical analysis (65-XX) Quantum theory (81-XX)

Cites Work

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• The discontinuous Galerkin finite element method for fractional cable equation
• A Galerkin finite element method for a class of time-space fractional differential equation with nonsmooth data
• Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation
• Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems
• A second-order scheme with nonuniform time grids for Caputo-Hadamard fractional sub-diffusion equations
• Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation
• The time discontinuous space-time finite element method for fractional diffusion-wave equation
• Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
• Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method

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